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Bayesian estimation and prediction for certain type of mixtures

Aziz LMoudden and Éric Marchand

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 2, 309-334

Abstract: For two vast families of mixture distributions and a given prior, we provide unified representations of posterior and predictive distributions. Model applications presented include bivariate mixtures of Gamma distributions labeled as Kibble-type, non-central Chi-square and F distributions, the distribution of R2 in multiple regression, variance mixture of normal distributions, and mixtures of location-scale exponential distributions including the multivariate Lomax distribution. An emphasis is also placed on analytical representations and the relationships with a host of existing distributions and several hypergeometric functions of one or two variables.

Date: 2023
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DOI: 10.1080/03610926.2021.1913185

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